International Journal of Computational Intelligence Systems

Volume 9, Issue 1, January 2016, Pages 110 - 119

Hesitant Fuzzy Filters in BE-algebras

Authors
Akbar Rezaei1, rezaei@pnu.ac.ir, Arsham Borumand Saeid2, *, arsham@uk.ac.ir
1Departement of Mathematics, Payame Noor University, P. O. Box. 19395-3697, Tehran, Iran
2Departement of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
*Corresponding author
Corresponding Author
Arsham Borumand Saeidarsham@uk.ac.ir
Received 31 October 2014, Accepted 1 December 2015, Available Online 1 January 2016.
DOI
10.1080/18756891.2016.1144157How to use a DOI?
Keywords
BE-algebra; Hesitant fuzzy (implicative) filter; Hesitant level subset; γ-inclusive
Abstract

In this paper, we introduce the notion of hesitant fuzzy (implicative) filters and get some results on BE-algebras and show that every hesitant fuzzy implicative filter is a hesitant fuzzy filter but not the converse. Finally, we state and prove the relationship between hesitant fuzzy (implicative) filters and γ-inclusive sets.

Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
9 - 1
Pages
110 - 119
Publication Date
2016/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2016.1144157How to use a DOI?
Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Akbar Rezaei
AU  - Arsham Borumand Saeid
PY  - 2016
DA  - 2016/01/01
TI  - Hesitant Fuzzy Filters in BE-algebras
JO  - International Journal of Computational Intelligence Systems
SP  - 110
EP  - 119
VL  - 9
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2016.1144157
DO  - 10.1080/18756891.2016.1144157
ID  - Rezaei2016
ER  -